Search a number
-
+
742380183116 = 2211131996521947
BaseRepresentation
bin10101100110110010100…
…11101001111001001100
32121222012202021202122122
422303121103221321030
544130343311324431
61325013355432112
7104430605303465
oct12633123517114
92558182252578
10742380183116
11266929294520
12bba65755638
135501068a180
1427d07a53d6c
151449e9eda7b
hexacd94e9e4c

742380183116 has 48 divisors (see below), whose sum is σ = 1533962169600. Its totient is φ = 309922873920.

The previous prime is 742380183109. The next prime is 742380183119. The reversal of 742380183116 is 611381083247.

It is a super-2 number, since 2×7423801831162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (742380183119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3147146 + ... + 3374801.

It is an arithmetic number, because the mean of its divisors is an integer number (31957545200).

Almost surely, 2742380183116 is an apocalyptic number.

It is an amenable number.

742380183116 is an abundant number, since it is smaller than the sum of its proper divisors (791581986484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

742380183116 is a wasteful number, since it uses less digits than its factorization.

742380183116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522174 (or 6522172 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 742380183116 in words is "seven hundred forty-two billion, three hundred eighty million, one hundred eighty-three thousand, one hundred sixteen".

Divisors: 1 2 4 11 13 22 26 44 52 143 199 286 398 572 796 2189 2587 4378 5174 8756 10348 28457 56914 113828 6521947 13043894 26087788 71741417 84785311 143482834 169570622 286965668 339141244 932638421 1297867453 1865276842 2595734906 3730553684 5191469812 14276541983 16872276889 28553083966 33744553778 57106167932 67489107556 185595045779 371190091558 742380183116